FUNDAMENTALNAYA
I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2011/2012, VOLUME 17, NUMBER 3, PAGES 61-66

**Every zero adequate ring is an exchange ring**

B. V. Zabavsky

S. I. Bilavska

Abstract

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It is proved that if $R$ is a commutative
ring in which zero is an adequate element, then $R$ is an exchange ring and
that every zero adequate ring is an exchange ring.
There is a new description of adequate rings; this is an answer
to questions formulated by Larsen, Lewis, and Shores.

Location: http://mech.math.msu.su/~fpm/eng/k1112/k113/k11305h.htm

Last modified: May 4, 2012